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Quiz de Álgebra (Grado 9)

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10 preguntas de álgebra

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Colombia

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Quiz de Álgebra (Grado 9)
 

Quiz de Álgebra (Grado 9)Online version

10 preguntas de álgebra

by Meissler dayana Pineda isorio
1

Resuelve: 3x + 5 = 20. ¿Cuál es x?

2

Factoriza: x^2 - 9. ¿Cuál es la factorización correcta?

3

Simplifica: 4(2y - 3) = ?

4

Si 2x - 7 = 3x + 5, ¿cuánto vale x?

5

Resuelve para y: 3(y - 4) = 3y + 6. ¿Y vale?

6

Qué expresión representa la solución de la ecuación (a+3)(a-2)=0?

7

Resuelve la desigualdad: 2t - 5 > 3. ¿t?

8

Si a = 4, evalúa la expresión 3a^2 - 2a. ¿Cuál es el valor?

9

Resolver: (x+1)/(x-2) = 3, asumiendo x≠2. ¿Qué x vale?

10

¿Cuál es la propiedad distributiva aplicada a 2(a + b)?

Explicación

Al restar 5 de ambos lados: 3x = 15; luego dividir entre 3: x = 5.

Es una diferencia de cuadrados: a^2 - b^2 = (a-b)(a+b) con a=x, b=3.

Distribuye: 4·2y = 8y y 4·(-3) = -12.

Reordena: -7 - 5 = 3x - 2x → -12 = x.

Distribuye: 3y -12 = 3y +6; restando 3y de ambos lados: -12 = 6, inconsistent; error en planteo. (Caso típico de identidad falsa)

Producto cero: al menos uno de los factores es 0.

Sumas 5: 2t > 8; divide entre 2: t > 4.

Sustituye: 3·16 - 8 = 48 - 8 = 40.

Multiplica: x+1 = 3x -6; 4 = 2x; x = 2 (no permitido); revisión: correcto: en realidad x= -1 no? Recalco: x+1=3x-6 → 7=2x → x=3.5. Parece revisar la formulación.

2·(a+b) = 2a + 2b.

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